Global Journal of Science Frontier Research, A: Physics and Space Science, Volume 22 Issue 1
Table 5 shows various tools for the analysis and examination of linear regression models. In particular, adjusted R-squared is a variant of R-squared that, unlike this other indicator, does not spuriously increase when more variables are added to a regression model. Therefore, the adjusted R squared of different models are comparable to each other even if they do not share the same number of independent variables. On the other hand, the F-test is used mainly under the assumption that a set of data follows a normal distribution, as in the case of the present work. It is also based on the null hypothesis or the opposite statement to that found in an investigation, which states, more specifically, that the observed results occurred by pure chance and that therefore there is no correlation between the variables. Rejecting the null hypothesis and demonstrating the validity of the alternative hypothesis implies that the means of all the tests are not equal to each other. Hence the importance of the F-statistic, which is the ratio between the variation between tests and the variation within tests. Depending on how much the F-statistic differs from the critical value of F, the null hypothesis will be more or less likely to apply. The P-value goes very hand in hand with the F- test because it is a measure to determine the possibility that the experimental results are a product of chance under the assumption that the null hypothesis is correct. Similarly, the T-value indicates how significant the difference is between experimental tests, that is, it expresses the possibility that the results happened by pure chance (Sundery, 2021). b) Calculation of uncertainties First, the uncertainty of the voltage is determined primarily by the reaction time to identify the voltage to which the nut falls and to a lesser extent by the uncertainty of the multimeter, since human error tends to be more relevant than instrumental ones. This can be validated by the fact that although the multimeter has an absolute uncertainty of ± 0.01 V, the readings for the same interval of 278.15 K have a range of up to 0.5 V. Knowing that the measurements cannot be reproducible within the Instrumental measurement, the uncertainty can be estimated from the range of values, dividing this by two, thus leaving an uncertainty of ± 0.25 V (College Physics Labs Mechanics, 2021). Instead, the absolute uncertainty of the minimum and maximum temperatures is given by the uncertainty of the infrared thermometer which is ± 273 K, while that of the average is obtained by dividing the range by two, as shown in Table 4. The propagation of error due to the logarithmic transformation of the data is defined as: (17) Whereas the complete result is declared as: In Table 8, base ten logarithms are applied to each of the axes and the uncertainties of the logarithmic linearization are shown. Table 6: Application of logarithms to the two axes with their respective uncertainties Relationship between Temperature and the Holding Force of an Electromagnet in a Changing Magnetic Field 1 Year 2022 23 © 2022 Global Journals Global Journal of Science Frontier Research Volume XXII Issue ersion I VI ( A ) (17) (18) Log[V], (V) Log[T], (K) 0.29 ± 0.13 2.47 ± 0.01 0.28 ± 0.13 2.48 ± 0.01 0.46 ± 0.09 2.52 ± 0.01 0.29 ± 0.13 2.48 ± 0.01 0.38 ± 0.10 2.48 ± 0.01 0.31 ± 0.12 2.48 ± 0.01 0.34 ± 0.11 2.48 ± 0.01 0.41 ± 0.10 2.51 ± 0.01 0.38 ± 0.10 2.49 ± 0.01 0.31 ± 0.12 2.49 ± 0.01 0.37 ± 0.11 2.48 ± 0.01 0.43 ± 0.09 2.50 ± 0.01 0.45 ± 0.09 2.50 ± 0.01
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